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Finding the Fourth Proportional to 453,742.83, 680,633.01 and 133,894.70

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Solution

The fourth proportional to 453,742.83, 680,633.01 and 133,894.70 is: 200,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,742.83 : 680,633.01 = 133,894.70 : x
  2. Step 2: Convert to fraction form
    453,742.83/680,633.01 = 133,894.70/x
  3. Step 3: Cross multiply
    453,742.83x = 680,633.01 × 133,894.70
  4. Step 4: Simplify right side
    453,742.83x = 91,133,152,684.05
  5. Step 5: Solve for x
    x = 91,133,152,684.05/453,742.83
  6. Step 6: Final answer
    x = 200,847.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.